The bureaucrats I deal with would buy the various routers at best prices and then proceed to build a software system to track which router was installed where that would cost > top of the line routers and would be built by a company friendly to the person making the decision. Initial costs would be low to win the bid but many "required changes" would ramp the bill up. They would create software jobs and get optimal router pricing - if that's not efficiency I don't know what is !
I can assure you that any existing software would fail to meet the requirements (hint - primary requirement being related to/friends with/lobbying the decision maker).
You're right if nepotism is a requirement. But if we could suspend our cynicism long enough to consider available enterprise products (which is a tremendous strain admittedly for anyone who agrees with Paul Graham about "enterprise" computing) then as a comment below points out, CISCO sells Monitoring as a service and there are other vendors that provide this.
